If I have a shimmer myr on the battlefield and I cast an artifact card during opponent's turn and in response he destroys my Shimmer Myr, is the artifact spell countered?
If I have a shimmer myr on the battlefield and I cast an artifact card during opponent's turn and in response he destroys my Shimmer Myr, is the artifact spell countered?
I don't think so, you already cast the spell. It would resolve and then that card would destroy shimmer myr.
The spell you played is already on the stack. Getting rid if the Myr won't have any effect on the spell you played.